Linked Questions

11 votes
4 answers
21k views

For an LTI system, why does the Fourier transform of the impulse response give the frequency response?

I know that for a given system, the Fourier transform of its impulse response gives its frequency response. I want to find where this property comes from, but haven't been able to find if it's a ...
Florian Castellane's user avatar
9 votes
2 answers
4k views

How can output sequence be equal to the sum of copies of the impulse response, scaled and time-shifted signals?

I am sorry, this is a very basic question. But i am having hard time understanding is how it is possible. I know impulse response is the output of the system when impulse sequence is given as input ...
sarbjit's user avatar
  • 91
5 votes
1 answer
2k views

How to identify impulse response of noisy system?

My lecture slides mention that two-level ("2-tasoiset" in Finnish) signals are good in identification with linear systems. I am trying to understand this in noisy system. I cannot find any method ...
hhh's user avatar
  • 317
5 votes
2 answers
2k views

Does the impulse response of a system have any physical meaning?

In other words, what does the impulse response tell us about the characteristics of the system? For simplicity, let's assume we deconvolve a discrete output and a discrete input to obtain an impulse ...
Xe M's user avatar
  • 53
3 votes
1 answer
647 views

Basic question: Why is the output of a system the convolution between the impulse response and the input?

I forgot a very simple fact and I am now struggling to find reference that proves this basic property? How would you prove that for a single in single out system, the system output is the impulse ...
Olórin's user avatar
  • 139
2 votes
6 answers
4k views

Why do we always characterize a LTI system by its impulse response?

Why do we always characterize a LTI system by its impulse response and not by another response, like the step response? What does the impulse response have that is so special?
pal's user avatar
  • 31
2 votes
2 answers
181 views

Relation between Causality and the Phase response of an Amplifier

I am trying to model the response of an amplifier. As per the main answer on this question, if one wishes to do so, they have to look at the Fourier decomposition of the input signal $x(t), \, \tilde{...
Heath's user avatar
  • 131
1 vote
0 answers
102 views

Difference between transfer function and frequency response? [duplicate]

AFAIK both represent the ratio of the output response $Y(j\omega)$ to the input excitation $X(j\omega)$: $$H(j\omega)=\frac{Y(j\omega)}{X(j\omega)}$$ Are there any difference?
Freeman's user avatar
  • 143
0 votes
1 answer
260 views

Can I use Fourier transforms instead of Laplace transforms (analyzing RC circuit)?

I don't study electrical engineering or something related but I was assigned a problem on transfer functions, impulse responses, and in general, everything related to this post. (Specifically, I'm ...
DLV's user avatar
  • 113
0 votes
2 answers
285 views

How do I show an impulse response leads to a zero-phase frequency response?

I'm trying to understand how to show that with real coefficients, the phase response of a filter is 0. Here is the impulse response $h[n] = b_1d[n+1] + b_0d[n] + b_1d[n-1]$ How should I approach ...
user avatar
-1 votes
4 answers
3k views

What is meant by Impulse Response [duplicate]

I have read in all books that: Impulse(n) = 1 when n=0 , 0 otherwise So when we state impulse response of signal x(n) I do not understand what is its actual ...
Programmer's user avatar